49 citations · 178 across the 28 of their papers we have counts for
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math.NT2011
The second shifted moment of the Riemann zeta function
Sandro Bettin
We prove an asymptotic formula for the second moment (up to height ) of the Riemann zeta function with two shifts. The case we deal with is where the real parts of the shifts ar…
math.NT2011★ 49 cited
Period functions and cotangent sums
Sandro Bettin, Brian Conrey
We investigate the period function of $\sum_{n=1}^\inftyσ_a(n)\e{nz}$, showing it can be analytically continued to and studying its Taylor series. We use these results…